Ratio & Proportion for IBPS Clerk Prelims 2017 (DAY-22)

Q1. Three numbers A, B and C are in the ratio of 12 : 15 : 25. If sum of these numbers is 312, find the ratio between the difference of B and A and the difference of C and B.  

(a) 3 : 7

(b) 10 : 3

(c) 3 : 10 

(d) 7 : 3

(e) None of these 

Q2. If A : B = 3/4, B : C = 4/5, C : D = 5/6, then A : D will be: 

(a) 2 : 3

(b) 4 : 3

(c) 1 : 2

(d) 2 : 1

(e) None of these  

S2. Ans.(c)

Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6

∴A∶B∶C∶D= 3 : 4 : 5 : 6.

Thus, A : D = 3 : 6 or, 1 : 2. 

Q3.  The ratio of present ages of Suresh and Mahesh is 7 : 5. If after 6 years their ages will be in the ratio of 4 : 3, the present age of Mahesh is:  

(a) 32 years 

(b) 36 years 

(c) 30 years 

(d) 35 years

(e) None of these 

Q4. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. What amount of water must be added to make the ratio of milk and water as 1 : 2?

(a) 75 litres 

(b) 55 litres 

(c) 60 litres 

(d) 65 litres 

(e) None of these 

S4. Ans.(c)

Sol. Here, milk = 40, water = 20

Let x litres of water is added

(20+x)/(60+x) = 2/3

x = 60 litres 

Q5. Mixture of milk and water has been kept in two separate containers. Ratio of milk to water in one of the containers is 5 : 1 and that in the other container 7 : 2. In what ratio the mixtures of these two containers should be added together so that the quantity of milk in the new mixture may become 80%? 

(a) 2 : 3

(b) 3 : 2

(c) 4 : 5 

(d) 1 : 3 

 (e) None of these 

Q6. Seven men, five women and eight children were given as assignment of distributing 2000 books to students in a school over a period of three days. All of them distributed books on the first day. One of the second day two women and three children remained absent and on the third day three men and five children remained absent. If the ratio of the number of books distributed in a day by a man, a woman and a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?  

(a) 1000

(b) 800

(c) 650

(d) 900

(e) Cannot be determined 

S6. Ans.(c)

Sol. Let the books distributed by man, a woman and a child be 5x, 4x and 2x respectively. 

∴ No. of books distributed in 1st day 

= 7×5x+5×4x+8×2x=71x 

No. of books distributed in 1Ind day 

=7×5x+3×4x+5×2x=57x  

And no. of books distributed in IIIrd day 

=4×5x+5×4x+3×2x=46x 

71x + 57x + 46x = 2000, x = 2000/174 

57x=2000/174×57=650 (Approx.) 

Q7. A sum of money is divided among A, B, C and D in the ratio 3 : 5 : 8 : 9 respectively. If the share of D Rs. 1,872 more than the share of A, then what is the total amount of money of B & C together? 

(a) Rs. 4,156 

(b) Rs. 4,165

(c) Rs.4,056 

(d) Rs. 4,065

(e) None of these 

Q8. The ratio of the incomes of two persons is 5 : 3 and that of their expenditure is 9 : 5. If they save Rs. 2600 and Rs. 1800 respectively, then their incomes are:

(a) Rs. 8000, Rs. 4800

(b) Rs. 6000, Rs. 3600

(c) Rs. 10000, Rs.60000

(d) Rs. 9000, Rs. 5400

(e) None of these 

Q9. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 2 : 3 : 5. Their total value is Rs. 144. The value of 50-paise coins is:   

(a) Rs. 24

(b) Rs. 36

(c) Rs. 48

(d) Rs. 72 

(e) None of these 

S9. Ans.(b) 

Sol. Let the number of one-rupee coins, 50-paise coins and 25-paise coins be 2k, 3k and 5k, respectively. 

∴ 2k × 1 + 3k × 0.50 + 5k × 0.25 = 114 

⇒ 2k + 1.50k + 1.25k = 114 

⇒ 4.75k = 114

⇒ k = 24. 

50 paise value = 1.5x = 1.5*24 = 36

Q10. Two numbers are in the ratio 1(1/2) ∶2(2/3). When each of these is increased by 15, they become in the ratio 1(2/3) ∶2(1/2). The greater of the numbers is:  

(a) 27

(b) 36

(c) 48

(d) 64

(e) None of these 

Q11. Determine the ratio of the number of people having characteristic X to the number of people having characteristic Y in a population of 100 subjects from the following table: 

Having X and Y - 10

Having X but not Y - 30

Having Y but not X - 20

Having neither X nor Y - 40 

(a) 4 : 3  

(b) 3 : 2

(c) 1 : 2

(d) 2 : 3 

(e) None of these 

S11. Ans.(a)

Sol. Number of people having characteristic X

= 10 + 30 = 40

Number of people having characteristic Y 

= 10 + 20 = 30 

Required ratio = 40 : 30 = 4 : 3  

Q12. The incomes of A, B and C are in the ratio 7 : 9 : 12 and their spending are in the ratio 8 : 9 : 15. If A saves one-fourth of his income, then the savings of A, B and C are in the ratio of:  

(a) 69 : 56 : 48

(b) 47 : 74 : 99 

(c) 37 : 72 : 49 

(d) 56 : 99 : 69 

(e) None of these 

Q13. The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is:  

(a) 95

(b) 76

(c) 100

(d) 114 

(e) None of these 

S13. Ans.(b)

Sol. Let the original number of students be 4x, 6x and 9x. 

Now, according to the question, 

(4x + 12)/(6x + 12)=7/9 

⇒ 42x + 84 = 36x + 108 

⇒ 42x – 36x = 108 – 84 

⇒ 6x = 24 

⇒ x = 4 

∴ Required number of students = 4x + 6x + 9x = 19x = 19 × 4 = 76   

Q14. When X is subtracted from the numbers 9, 15 and 27, then remainders are in the continued proportion. What is the value of X?

(a) 8

(b) 6

(c) 4

(d) 5

(e) None of these

S14. Ans.(e)

Sol. Let x be subtracted from the numbers 9, 15 and 27 we get continue proportion.

Now, (9 – x) : (15 – x) : (27– x) 

∴ b^2=ac 

⇒ (15-x)^2=(9-x)(27-x) 

Or, 225 – 30x +x^2=243+x^2-36x 

Or 6x = 243 – 225 = 18 

∴ x = 3 

Hence, number become 9 – x = 9 – 3 = 6 

15 – x = 15 – 3 = 12 

And, 27 – x = 27 – 3 = 24 

∴ 6 : 12 : 24 = 1 : 2 : 4 

Q15. A certain amount was to be distributed among A, B and C in the ratio 2 : 3 : 4, but was erroneously distributed in the ratio 7 : 2 : 5. As a result of this, B received Rs. 40 less. What is the actual amount? 

(a) Rs. 210

(b) Rs. 270

(c) Rs. 230

(d) Rs. 280

(e) None of these 

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Percentages for IBPS Clerk Prelims 2017 (DAY-21)

Directions (1-5): What approximate value should come in place of question mark (?) in the following equation?

Q1. 32.05% of 259.99 =?

(a) 92 

(b) 88

(c) 78 

(d) 90

(e) 83

Q2. 4.78% of 1255 + 3.24% of 440 = 0.5% of ?

(a) 14260 

(b) 14492

(c) 14636 

(d) 14849

(e) 15002

Q3. 35.05% of 3365 + 8900 ÷ 41.99 = ?

(a) 1350 

(b) 1390

(c) 1430 

(d) 1480

(e) 1530

Q4. (385% of 463) ÷179 = ?

(a) 10 

(b) 16

(c) 24 

(d) 30

(e) 40

Q5. 84.04% of 1845 + 23.97% of 178.05 = ?

(a) 1510 

(b) 1530

(c) 1550 

(d) 1570

(e) 1590

Q6. In a co-education school there are 15 more girls than boys. If the number of girls is increased by 10% and the number of boys is also increased by 16%, there would be nine more girls than boys. What is the number of students in the school?

(a) 240 

(b) 225

(c) 265 

(d) 245

(e) None of these

Q7. The population of a city increases at the rate of 4% per annum. There is an additional annual increase of 1 % in the population due to the influx of job seekers. Therefore, the % increase in the population after 2 years will be:

(a) 10 

(b) 10.25

(c) 10.55 

(d) 10.75

(e) None of these

Q8. In a factory, producing parts of an automobile, the parts manufactured on the shop floor are required to go through quality checks, each conducted after a specific part of the processing on the raw material is completed. Only parts that are not rejected at one stage are put through subsequent stages of production and testing. If average rejection rates at these three testing stages during a month are 10%, 5% and 2% respectively, then what is the effective rejection rate for the whole plant?

(a) 17%

(b) 15.20%

(c) 84.80% 

(d) 16.21%

(e) None of these

Q9. In a class, 40% of the boys is same as 1/2 of the girls and there are 20 girls. Total number of students in the class is:

(a) 70

(b) 45

(c) 35 

(d) 25

(e) None of these

Q10. In a company, there are 75% skilled workers and remaining ones are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If number of temporary workers is 126, then what is the number of total workers?

(a) 480 

(b) 510

(c) 360 

(d) 377

(e) None of these

Q11. There were two candidates in an election. 10% of the voters did not vote. 60 votes were declared invalid. The elected candidate got 308 votes more than his opponent. If the elected candidate got 47% of the total votes, how many votes did each candidate get?

(a) 2316 and 2012 

(b) 2629 and 2324

(c) 2871 and 2575 

(d) 2914 and 2606

(e) None of these

Q12. 7% of the total quantity of wheat is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of wheat grown in the country.

(a) 500 million tonnes

(b) 400 million tonnes

(c) 600 million tonnes 

(d) 700 million tonnes

(e) 800 million tonnes

Q13. In a medical certificate, by mistake a candidate gave his height as 25 % more than actual. In the interview panel, he clarified that his height was 5 feet 5 inches. Find the percentage correction made by the candidate from his stated height to his actual height.

(a) 28.56

 (b) 20

(c) 25 

(d) 30

(e) 35

Q.14 The total tractor population in a state is 2,94,00 out of which 1,50,00 are made by Mahindra & Mahindra. Out of every 100 Mahindra tractors, 98 are red in colour, but only 53% of the total tractor population is red. Find the percentage of non- Mahindra tractors that are red.

(a) 5.025% 

(b) 5.130%

(c) 6.125% 

(d) 6.140%

(e) 7.145%

Q15. The price of petrol is increased by 25%. How much per cent must a car owner reduce his consumption of petrol so as not to increase his expenditure on petrol?

(a) 25% 

(b) 50%

(c) 30% 

(d) 20%

(e) None of these

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Ratio & Proportion for IBPS Clerk Prelims 2017 (DAY-5)

1. 28% members of a group is unmarried. What is the ratio between married and unmarried members respectively?

a. 7:17                   b. 5:18

c. 7:18                    d. can’t be determined

e. None

2. Average of five members is 49. Average of first and second is 48 and average of fourth & fifth is 28. What is third number?

a. 92                       b. 91

c. 95                       d. can’t be determined

e. None

3. New fraction formed by increasing numerator by 200%

And denominator by 150% is 9/10. Find original fraction?

a. 3/4                      b. 1/4

c. 2/5                      d. 4/5

e. None

4. Which is the biggest fraction in 9/31, 3/17, 6/23, 4/11 & 7/25?

a. 9/31                   b. 3/17

c. 6/23                    d. 4/11

e. None

5. 25/2% of first number is equal to 1/32 of second number. What is the ratio between first & second number respectively?

a. 4:1                                      b. 1:4

c. 25/4 : 7/3                          d. 2:9

e. None

6. Find average of following score?

566, 455, 231, 678, 989, 342, 715

a. 590                     b. 555

c. 568                     d. 513

e. None

7. A, B, C, D, E are five consequent odd numbers. Average of third & fifth number is 59. Find square of first number?

a. 2601                  b. 2704

c. 53                       d. 2809

e. None

8. Find second biggest fraction in 3/7, 4/9, 6/11, 8/13 & 7/13?

a. 3/7                      b. 4/9

c. 6/11                    d. 8/13

e. None

9. If following fractions arranged in ascending order from left to right then which fraction will be 2^nd from left?

a. 3/13                   b. 4/7

c. 9/11                    d. 5/12

e. 5/8

10. If a numerator of a fraction increased by 200% and denominator increased by 300% then resultants ratio is 9/20. What is original fraction?

a. 3/7                      b. 4/5

c. 3/5                      d. 4/7

e. None

11. Total of five consecutive odd numbers is 595. Find the total of 2^nd largest number and double of smallest number?

a. 355                     b. 351

c. 357                     d. 353

e. None

12. Ratio between girls & boys in a class is 9:11. What is % of girls in this class?

a. 35                       b. 55

c. 45                       d. Can’t be determined

e. None

13. Average height of 4 girls is 150cm. Average height of three girls, out of four girls is 148cm then find the height of 4^th girl?

a. 156                     b. 675

c. 621                     d. 525

e. None

14. Ratio of monthly salary of Sarita, Teena and Arti is 95:110:116 respectively. If annual salary of Sarita is Rs 342000 then what will be annual salary of Arti?

a. Rs 386000                        b. Rs 463500

c. Rs387000                         d. Rs 417600

e. None

15. Average of four consequent odd numbers A, B, C & D is 24. Find product of B & D?

a. 483                     b. 675

c. 621                     d. 621

e. 525

16. Average of these eight numbers is 474 then find the value of x?

   533, 128, 429, 225, x, 305, 609, 804

a. 767                     b. 783

c. 776                     d. 658

e. None

17. Average of five cubic numbers is 470. First two numbers average is 720 and average of last two numbers is 150. What is third number?

a. 610                     b. 600

c. 510                     d. 500

e. None

18. Average weight of 40 students of class in 55 kg. Out of 40, six students leave the class whose average weight was 52kg and six students having average weight of 42 kg joins the class. What is new average weight of class?

a. 54.25                 b. 52.75

c. 53.5                    d. 54

e. 53

19.  A certain amount is divided between Ram and Mohan in ratio of 14:9 respectively. Ram gets Rs 3265 more than Mohan, find total amount?

a. 15019                                b. 15109

c. 16019                                d. 10619

e. None

20. Two numbers are respectively 20% and 50% more than a third number. The ratio of two number is:

a. 4:5                      b. 5:4

c. 3:5                      d. 5:3

e. None

21. A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that number of the shirts of brand has been interchanged. That increased the bill by 40%. The ratio of the number of brand A shirts to B shirts in the original order was?

a. 3:1                      b. 1:3

c. 4:3                      d. 3:5

e. None

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Percentages for IBPS Clerk Prelims 2017 (DAY-4)

Calculate:

1. 42.75% of 960

2. 32% of 55

3. 24% of 225

4. 83.33% of 1296

5. 91.66% of 2472

6. 87.5% of2432

7. 14.3% of 238

8. 44.44% of 936

9. 45% of 2662

10. 42.84% of 245

Q11. If 15% of A is equal to 20% of B then 25% of    

A is what percent of B?

Q12. If length of rectangle is increased by 30% and width is decreased by 20% then the area is increased by?

Q13. If the population of a city is 42000. If increased at the rate of 5% per annum. Then wha will be the population 2 years hence?

Q14. A number is mistakenly divided by 7 instead of being multiplied by 7, what is % error in the result?

Q15. If the price of an item is increased by 25%. By what % should it be reduced to bring it back to original level?

Q16. If A’s salary is 25% more than B’s salary. B’s salary is what percentage less than A’s salary?

Q17. If A’s salary is 5.55% more than B’s salary. Then B’s salary is what percentage less than A’s salary?

Q18. Fresh grapes contains 80% of water, while dry grapes contains 20% water. If the weight of dry grapes is 100 kg then what is its total weight when it is fresh?

Q19. Due to 25% increase in price of sugar per kg a person is able to purchase 20 kg less for Rs   . What is the increased price of sugar per kg?

Q20. If in an exam 36% student failed in English, 20% failed in Hindi and 10% failed in both English and Hindi. If total number of passed students are 400 then total enrolled students are?

Q12. Out of his total income, Mr. Kapoor spends 20% on house rent and 70% of the rest on house hold expenses. If he saves Rs 1,800 what is his total income (in rupees)?

(SBI PO Prelims 2016)

(a) Rs 7,800     (b) Rs 7,000

(c) Rs 8,000      (d) Rs 7,500

(e) None of these

Q13. A man spends 28% of his salary on food. From the remaining he spent 1/6th on rent and sends 3/8th to his mother. If he left with Rs 5280, what amount he sends to his mother.

(SBI PO Prelims 2017)

(a) Rs. 4230                 (b) Rs. 4320

(c) Rs. 4580                 (d) Rs. 4420

(e) None of these

Q14.  5% of one number (X) is 25% more than another number (Y). If the difference between the numbers is 96 then find the value of X?

(IBPS Clerk Prelims 2016)

(a) 90               (b) 100

(c) 92               (d) 96

(e) None of these

Q15. The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is 6/5, what is the original fraction?

(IBPS Clerk Prelims 2016)

(a) 22/5                        (b) 24/5

(c) 27/6                        (d) 28/5

(e) 30/11

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